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Finding the Fourth Proportional to 5,842.45, 8,765.02 and 1,682.50

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Solution

The fourth proportional to 5,842.45, 8,765.02 and 1,682.50 is: 2,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.45 : 8,765.02 = 1,682.50 : x
  2. Step 2: Convert to fraction form
    5,842.45/8,765.02 = 1,682.50/x
  3. Step 3: Cross multiply
    5,842.45x = 8,765.02 × 1,682.50
  4. Step 4: Simplify right side
    5,842.45x = 14,747,146.15
  5. Step 5: Solve for x
    x = 14,747,146.15/5,842.45
  6. Step 6: Final answer
    x = 2,524.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.